GCD of 190, 171, 57, 749 Calculator

Given Input numbers are 190, 171, 57, 749

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 190, 171, 57, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 171, 57, 749 is 1.

Therefore, GCD of numbers 190, 171, 57, 749 is 1

Given Input Data is 190, 171, 57, 749

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 57 is 3 x 19

Prime Factorization of 749 is 7 x 107

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(190, 171) = 1710

GCD(190, 171) = ( 190 x 171 ) / 1710

GCD(190, 171) = 32490 / 1710

GCD(190, 171) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 57

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(19, 57) = 57

GCD(19, 57) = ( 19 x 57 ) / 57

GCD(19, 57) = 1083 / 57

GCD(19, 57) = 19

Step3:

Here we consider the GCD from the above i.e. 19 as first number and the next as 749

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(19, 749) = 14231

GCD(19, 749) = ( 19 x 749 ) / 14231

GCD(19, 749) = 14231 / 14231

GCD(19, 749) = 1

GCD of 190, 171, 57, 749 is 1

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1. What is the GCD of 190, 171, 57, 749?

GCD of 190, 171, 57, 749 is 1

2. Where do I get the detailed procedure to find GCD of 190, 171, 57, 749?

You can find a detailed procedure to find GCD of 190, 171, 57, 749 on our page.

3. How to find GCD of 190, 171, 57, 749 on a calculator?

You can find the GCD of 190, 171, 57, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.